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Finding the Third Proportional to 27,832,230 and 39,193,849

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Solution

The third proportional to 27,832,230 and 39,193,849 is: 55,193,486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832,230 : 39,193,849 = 39,193,849 : x
  2. Step 2: Convert to fraction form
    27,832,230/39,193,849 = 39,193,849/x
  3. Step 3: Cross multiply
    27,832,230x = 39,193,849 × 39,193,849
  4. Step 4: Simplify right side
    27,832,230x = 1,536,157,799,434,801
  5. Step 5: Solve for x
    x = 1,536,157,799,434,801/27,832,230
  6. Step 6: Final answer
    x = 55,193,486.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.